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Matrices and Determinants question

2021 · 16 Mar · Shift 1 · Q28
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  5. /2021 · 16 Mar · Shift 1 · Q28

Matrices and Determinants question

2021 · 16 Mar · Shift 1 · Q28

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
Let A=[i−i−ii],i=−1A = \left[ {\begin{matrix} i & { - i} \\ { - i} & i \\ \end{matrix} } \right],i = \sqrt { - 1}A=[i−i​−ii​],i=−1​. Then, the system of linear equations A8[xy]=[864]{A^8}\left[ {\begin{matrix} x \\ y \\ \end{matrix} } \right] = \left[ {\begin{matrix} 8 \\ {64} \\ \end{matrix} } \right]A8[xy​]=[864​] has :
  1. A
    Exactly two solutions
  2. B
    Infinitely many solutions
  3. C
    A unique solution
  4. D
    No solution
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